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Volume 22, Issue 1
The Derivative Patch Interpolating Recovery Technique for Finite Element Approximations

Tie Zhang, Yanping Lin & R. J. Tait

J. Comp. Math., 22 (2004), pp. 113-122.

Published online: 2004-02

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  • Abstract

A derivative patch interpolating recovery technique is analyzed for the finite element approximation to the second order elliptic boundary value problems in two dimensional case. It is shown that the convergence rate of the recovered gradient admits superconvergence on the recovered subdomain, and is two order higher than the optimal global convergence rate (ultraconvergence) at an internal node point when even order finite element spaces and local uniform meshes are used.

  • Keywords

Finite element, Derivative recovery, Ultraconvergence.

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COPYRIGHT: © Global Science Press

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@Article{JCM-22-113, author = {Zhang , Tie , Yanping Lin and Tait , R. J.}, title = {The Derivative Patch Interpolating Recovery Technique for Finite Element Approximations}, journal = {Journal of Computational Mathematics}, year = {2004}, volume = {22}, number = {1}, pages = {113--122}, abstract = {

A derivative patch interpolating recovery technique is analyzed for the finite element approximation to the second order elliptic boundary value problems in two dimensional case. It is shown that the convergence rate of the recovered gradient admits superconvergence on the recovered subdomain, and is two order higher than the optimal global convergence rate (ultraconvergence) at an internal node point when even order finite element spaces and local uniform meshes are used.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10339.html} }
TY - JOUR T1 - The Derivative Patch Interpolating Recovery Technique for Finite Element Approximations AU - Zhang , Tie AU - , Yanping Lin AU - Tait , R. J. JO - Journal of Computational Mathematics VL - 1 SP - 113 EP - 122 PY - 2004 DA - 2004/02 SN - 22 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10339.html KW - Finite element, Derivative recovery, Ultraconvergence. AB -

A derivative patch interpolating recovery technique is analyzed for the finite element approximation to the second order elliptic boundary value problems in two dimensional case. It is shown that the convergence rate of the recovered gradient admits superconvergence on the recovered subdomain, and is two order higher than the optimal global convergence rate (ultraconvergence) at an internal node point when even order finite element spaces and local uniform meshes are used.

Tie Zhang, Yanping Lin & R. J. Tait. (1970). The Derivative Patch Interpolating Recovery Technique for Finite Element Approximations. Journal of Computational Mathematics. 22 (1). 113-122. doi:
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